{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "Using k-NN for regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['sepal length (cm)',\n",
       " 'sepal width (cm)',\n",
       " 'petal length (cm)',\n",
       " 'petal width (cm)']"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn import datasets\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "iris = datasets.load_iris()\n",
    "iris.feature_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X = iris.data[:,:2]\n",
    "y = iris.data[:,2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MSE is: 0.41\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "lr = LinearRegression()\n",
    "lr.fit(X, y)\n",
    "print \"The MSE is: {:.2}\".format(np.power(y - lr.predict(X),2).mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MSE is: 0.17\n"
     ]
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "knnr = KNeighborsRegressor(n_neighbors=10)\n",
    "knnr.fit(X, y)\n",
    "print \"The MSE is: {:.2}\".format(np.power(y - knnr.predict(X),2).mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0xa78feb8>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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IJyda1K3L9u3bsbN0A3ACTZo357AQMGZM8o1v3EAMHkz4o0cWz4L0ej0dunbl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\n/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BDCKkkCE0IIYZUkgQkhhLBKksCEEEJYJUlgQgghrJIkMCGEEFZJEpgQQgirJAlMCCGE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zhjHc4Q7++JNGmlH7xhHHp3yKF16kkUZF8q+YbowKVMi111eICGF7ye38vP1ng2ua+vbtywst\nX2CW0yyTCwinkcZudlOd6ibtlx9PPNm/37zLmhciL+SYGGSu0pRG6IXZ/eGeJDY2NgStDWK+83yT\nesvl5hCHOOV6iqkz1EUsYxi9mEMIUQLYAIzIOBPL7hhQRUqZKIR4A/gFqJXbcSZNmpT1fcuWLWnZ\nsqWJIT95Eu4nmFVNAsDRxpHY2Fgcdebtn8kBBxKTC1YgNzExEUcbRxxw4Bu+YTKT+ZiP6UtfGtIw\n1wW4KaSwl72sYhVNacpQhrKXvWaPR3aOOD5wCfEOd1hrv5ajZY+y5/c9BtuKQPo9jlXrV9GpTScm\nnZzEx0kfG3VpM4YY/J39SU5LxiHVcvXsHHAgKcm8y7NandakCiyGONo4Fvi+6ZOicePGDB81nM/n\nfI5fol+ulV0MOcc5ZjrP5OcNPz/xZ1/79u1j3759BT6OUQlMCGFHevJaKaXc/PDz2ROalHK7EOI7\nIURpKWWOjyPZE5iSrnTZ0lyzvYapHUIkktjUWMqVK8cF+wuY2X8QSL985+5asB5bJUuWJF6X/qvg\njDPTmMav/EoQQQQQQEc6UpnKOONMPPGc5zw72UltauODD41Ib8GhQUMCCVlVzwvymmyx5QQn2KLZ\nwhH9Ed7u+TaH/A+ZVDJIo9GwY98OJoyfwJDAIfRM7kkH2SHXN6l73GO7zXY2OG5gmO8wYtfGEvdf\nXIFeR3axxJpV7gjAzcmNuKS4At1bzKRDx/3U+7i7W6Yv25Ng0tRJ3I+7z8ilIxmfOD7Xupe5kUh+\n5VcWaxYTtDaI11578idvPHzyMnnyZLOOY+wZ2FIgXEo5N7cnhRBPSSlvZnzfkPTp+QU7ly5G2rVr\nx7zJ83hf975JleLDCKOEWwlatmzJhnkbkKnmL6o8bnOcF1950ax9M1WoUIFkkrnBDcpTHltseSPj\nzznO8Su/8g//kEQSLrhQiUosYAGVHrqlWprShBGW43FTZJaf2u+wn2eefob3fd9nw4ANZtfzc3R0\nZOacmfR9ty/+0/zpt7Uf1Ryr4an1xDnNmUT7RC7ZdZcxjQAAG1RJREFUXyIiJYI3u73J3s/38vzz\nz3PhygXO/neWN3nT7NeSSSK5xCW6du1q1v71atfj3+P/0pCCt6q/ylU8Snng5mb6mcaTSgjBrHmz\naNCoAaOGj6JlSkve1L6Z5++xRHKSk6zTrON+hfvsWr+LF18s2L/B4sZgAhNCNAX+B4QJIY4DEvgM\nqApIKWUg8LYQYhjp5wBJQO+8jqfk5OnpSUJaAkc4wqvkPangYRvZiIu7C23atCHNNY0z8WfMmjCg\nR0+IUwibRm8yed/sHB0d6dS5E5vWbWI4D9bjq53xxxj3uc8mNtGBDmbHcpzjlPcsT9jFMIvW7mvQ\noAFrNq7h/v37HD9+nLCwMBITE3FxceH555+nfv36lChRImv7nj17MnjdYHTozGpjk91ZzmJnY2d2\n25IW7Vtw5MwRGmoLnsD+Fn/TvEXzAh/nSSOEoF+/frRp04ZZfrPwXeJLZZvK1EyuSWVtZRxwIIEE\nLjtf5oztGexL2uMzzoehQ4cWm9YplqQWMluBGX4zWP3FauJT4wkgwKgiuyc4wSQmIR0kZy6e4ad1\nP7Hzy535tjHJyyEOsa7WOkLPhRb4zb7xK405ffQ0G9lo1v2WCCIYwhCccMIPP6Mvwzxskssk+vj3\n4cMPPzRrf0sq41iGUdpRNCP3dvTG+oqvcO7gzNbtW83a/7///qN+7fqsSV7zQEkuU+nQMdhlMGt+\nXUOTJk3MPk5xkJSUxMGDBzl69CjnTpxDm6LFtaQrLzZ6kVdeeYUXX3xRFUdGVeIosqSUeFbwZNzN\ncWxjG1e5yhSm4EreN3FPcILJTGYCEzjoeJDnRj3H6HGj8arpxQe3PzBpoeptbuOr8SVgZQBvvVWw\nqesAGhsNtWQt6lKXD/jApH116PiMz7DDjjOc4RmewQ8/o+oGZhdKKNNdp3Pl2pUHzoYely+++IKF\nUxeykpU5OlQb6zSnGctYTl84TfXq5s9qfKfHO+i26BimHWb2MTbYbODEiyfYf2S/evNVLEIV8y2i\n7ty5w917d3mO5xjFKGpSk0EMYjnLiSEmazuJJIwwpjCFSUxiGMM4ylEOpBxg1oxZeD7tiY2wYZb9\nLPaxz6iffZObjNOMY8joIRZJXvfu3SNFpjCRifzO7/zET0bvm0YaM5gBwAAGoEePM8744Wf0VHxI\nn8k1zXkaG4I3WEXyApgyZQpuFdyYzWyzFrve4x6TmcxHYz4qUPICmLdoHr9rfucwh83a/1/+ZY3T\nGoLWBqnkpTx26gwsG71ez549e9i+ZTt3o+9Swr0EjZs35q233jKqUKo5Ll++TNN6TVmTsCbrsYtc\nzOr/5I47DjgQRxxOONGa1oQTzj/8Qwc60Ja2WQuYo4nmJ7uf2J+2n0Y2jeip70kd6uSY2JFZCDbY\nIZhPJn3Cx2M/tsib0ZkzZ3jF6xW2sY0b3OATPqEe9ehHP57iqTz3u8AFFrEIW2yZyERiiWUwg9nI\nRiYzmVRS8cU334XeqaTyG7/xg+YHgtYG0aVLlwK/HkuKioqidpXaNNc3ZxSjjD6rvMUtRjGKkjVK\ncuZfyxR2PXDgAF3bdWVM4hiTunOHE84kzSS+W/4db79dsPqQipKduoRYAFJKflj8A36T/bCNs6V5\nfHPccCOZZI6WOMoVmysM9R7KF5O+sPiN1lu3bvFs1Wf5OfnnHM8lkUQ00aSQQglKkEgin/AJ3ejG\n27yd5+WoaKKZJWZxmtNUdK7IS9qX0KRp0AotVzVXCdWF0qtXL3xG+5g9ISCv11LpqUrsYheQPhkj\niCB+4zfqUY/OdKYKVXDCiUQSOctZNrOZaKLpRjd60xtbbLnCFXzw4Qu+YL/jfvak7UEIQW2H2nRN\n7EoDGqBBQxpp3OIWO+12ssN+B3W96uL/nT8vv/yyxV6Tpfj7+bN48mJKJpUkhhg+5mPqkvfi9VRS\n2cEOlrCE1rRmn/M+/jz6J3XqWKZGwMGDB+nVtRcvx7/MoJRBuJP3dPgkkvjR/ke2O21n6eqlVvfh\nQCn6VAIzk5QS3w992bFqB76JvnjhleOMJYIIAp0DsX/Bnm17tuHsbP4N8IfpdDrKlyrPrPuz8j3D\niCGGj/iI93iPdrQz6tg72ckPbj8w1GcoulQdLq4uVKpUibfeeqtQ1u/o9XqcbZ0JIuiBosKZrVF2\nspMYYkgmGQ0aKlOZznSmMY0fmKG3j318K76lfoP6tO7YmiHDhlC6dGk2btzI/BnzCTsXRqI2ERth\nQxnXMvTs0xPvkd7Urm3cLMdH7dy5czRp0IQFSQsoT3l2sYtlLMMdd5rTnFrUoixl0aEjkkjOcpbd\n7KYqVfHGm+pUJ1gE8/tzv/P3yb8t1kwyNjaWsSPGsm7dOpqIJtRPqk8NauCCC8kkc4lLnHI4xT6x\nj7Zt2zIvcB4VKphWLFpRjKESmJm+mfYNy6cvZ2biTEqQ9z0THTr8nPxwe92NDSEbLBrDJ2M/4eK8\ni3hrvfPcxh9/XHFlKKY1Ewy0C8S5jzNLVhaszqGxXvJ6iRpnajAM8ycJeONN649aExCQd2dnnU6H\njY1NkbgP806PdyjxSwne0b+T9ZgOHUc5yjGO8S//cpe72GJLRSpSi1o0p/kDZZ8kEp8SPkxdOZU3\n3yz4mrLsYmJiWLVqFQd2HeDUyVPEJ8Xj7OhMnTp1aNy6Mf3696Ny5ZydoBXFUlQCM0N8fDxPl3ua\nhUkLjWobr0XLAM0AdhzcwQsvvGCxODKnN69KXoULLjnjJJ6+9GU5y01uQniHOwxyGkTEjYhHUjVh\n9OjRLJy9kJ/5uUDT6Hf/uZumTZsWQoSm0ev1RnU5zo2UkiNHjtC6WWvWpK4xq7xQdrvYxaFXD7H7\nr90FOo6iWBs1C9EMq1ator5NfaOSF6TXoeuY0pGAWXmfGZijatWq9P1fX6ZqpuY6424nO2lIQ7M6\n6JamNK/YvEJQUJAFIjVsz5Y9OOHEekzvFSWRLGYxpSlNUGCQ5YMzQnx8PL6+vpTTlMNROGJna4et\nsEUjNNSrWY8NGwyffZ84cYLB/QdTyqUU7Zu3p3pq9QInL4BmNOOvY3+RmlqAmmGK8gQp1gnsxyU/\n0jahrUn7dNB1YP0Gyzfym7dwHh7NPPhM8xmxxD7wXCihvIb59dGaJzZn5887CxqiQampqYT9G8aX\nfMkqVrEb488UJJLv+Z4wwhjDGP76469CjDSne/fu8Vrj1/Bw9WB3wG68k7z5iZ/YxS62spXFLOal\nCy/xXs/38HD2YNq0nN2V4+PjGTZ4GO2atEP8KFictJgu2i68gGXO1p1xpoJTBc6cKR5t5hXFEMvc\nDS6ioqOj853enZuylCUxJRGtVmvRGYl2dnZs2rqJsSPG0n9Jf5rZNKNzUmdqUYv73M93lpgh7rhz\n985di8Wal9jYWFwdXHkh5QXGMx4//LjOdXrSM9/q8rHEMp/5HOYw85iHAw7cu3+v0OPNdPHiRRrV\na0SNpBosZCFVqfrA87bYUolKDGQg/ejHgeQD+E3wI/RwKBs3pzcBvXnzJq0at6LK9SosSV6StRD9\nHvd4hmcsFmtZm7KqhYmiZCjWZ2D2dvYm93jSo0cv9RabCZadnZ0d3y74louRF2nxZQtmVZhFB5sO\nXOayyXFmp0P3SOqs2dvbkyrTL2+1pCX++BNCCN3pznzmc5WrWQt59egJJ5yv+Ipe9OIiF1nGMqpS\nlTTScLB7NHXhYmJieLnuyzRPas50pudIXg+zw44WtCCQQPYH76dXj14kJibSpmkbGkU2Ynzy+Aeq\nqNhiW6D/dw/TocPWtmA1FRXlSVGsz8CerfMs4RfDTaq3d57zVCtfzewb+8bw8PBg/CfjGf/JeKSU\n9O7Wm6iQKF7iJbOOF0UUFSsXvEGkIa6urqTp04gnnhKUoC51Wcc6TnCCxSxmC1vQosUee1JJRYOG\n53meH/iByvz/LLdb3KJM6TKFHi9Ak/pNqJ9SH198TarkX57yzGUuQzYNoXNMZ8pfK8+7ae/mOEYF\nKnCVqxaJVSKJ0EYUuBqHojwpinUC+3DkhwzZO4Q34980+s0rxDmED0c+ugKxQggGfjiQMXvH0CW+\ni8ntUiSS7SW2M3vI7EKK8P/Z2NjQpUMXdm7dSQ/ZI+vx+tRnAQsASCSROOIoTek8Zyn+5vwbvQcV\nfkODI0eOEBEVwRzmmNWGpgIVGMIQFv2xiNWszvUYz/Isv/GbJcLlJjfR2eqoUiXv9YKKUpwU60uI\nrVq1wra0LX/yp1HbRxDBQXmQ9wa/V8iRPah9+/YkaBI4xzmT9z3LWZJckmjfvn0hRJaT7zhftmi2\n5FnzT4OG8pTPM3nFEstBeZBB7w0qzDABGDNyDK/zulHV//PyOq8jkQ90fs7OCy/ucpeLXDT7Z2Ta\nabuTXr16FYm1b4ryKBTrBCaEYPm65czRzOEEJ/LdNoooPtN8xuyA2ZQp82gub2WytbVl5LiRBGoC\n0aI1ej8tWhZrFjNi7IhCveSZXbNmzXD2cOYvzJtF+LPNz3Tr2q3QxzgxMZHDBw/Tgx6GN86HM860\nox0hhOT6vC22dKUrq1hVoJ8TRxxbHLbgPSrvxe6KUtwU6wQG8Oqrr7I+ZD1TS0xlnuM8LnP5geej\niWa57XJGOI/gsxmfMfj9wY8lTt+RvlR9rSrTnacblcS0aJnuPJ1qLaoxYtSIRxBhOiEEC5YuYLbz\n7Bxjacif/MlOt5185fdVIUX3/7Zv344rrnjiWeBjtaQloYTm+XxPenKBC/zBH2YdXyKZ7zyfPu/2\nwcvL9IalivKkKvYJDKB169acOn8KrzFefFryU953fZ/R7qMZ7jacD5w/wGmAE78f+Z3h3sMNH6yQ\n2NrasvbntXi87sEol1HsZ3+us9t06NjPfka6jKRc23L8uOnHR3b2lalVq1bMDZzLOOdxhBFmcHuJ\nZIfYwVzXuYTsCqFatWqFHuPVq1cpSUmLHMsdd+5zP8/nnXDiUz7lW741ajyyk0iW2y0nqkIU38z6\npqChKsoTpViXkspNamoqYWFhxMXF4eLiQu3atXF1zbu55KOm1+tZu3YtAX4BXLlwhVYprSijS7/c\ndtv2Nnsd91KtRjV8xvvQp0+fR568stuxYwf9evWjlqxF5/jONKLRA0V7k0lmD3vY4rqFtJJpBP8a\n/MgK8s6aNYvAMYEsYlGBjxVBBJ/zOStZme92RzjCNKbRn/50pzs2Bj4/xhLLAucFRFWMYs+BPTz1\nlGlrFhWlqFC1EIuhkydPsmnjJqKvpS9s9ajowVs93rJoncaCSkpKYv369QT4BXD1ylUq21fGSTqR\nKBK5mHKRJo2b4DPOh3bt2j3SZLtu3TpG9RnFGtYY3tiAM5xhPvP5nu8NbhtJJH74oUVLd7rTnOYP\nFJGWSK5znZ12O9lmv413Br7D1/5fo9GYP9FEUaydSmCK1Tt37hxXr14lISEBNzc3atasydNPP/1Y\nYomJiaGSRyWWs9zoWph5WcpS4onHF1+jttej52/+JphgTnCCspSlDGWIJ57bDrexd7KnZ+/0FjGW\n6v+lKNZMJTBFMVGDug2oHV6bIQwx+xippNKTnsxhzgPtT4ylQ0cEEZznPAs1Czl++jjVqlVTU+WV\nYkVVo1cUE03zn0YwwSYtTXjYn/yJDp3ZZ3G22OKJJ+GO4QzzHoanp6dKXopiJHUGVoRJKYmIiCAm\nJgaAsmXLUqVKFfUGaIKK7hVpGdfSrLOwWGL5gA/wqOmB139eDNOa18TzBCeYUWoGpy+cpnRp01vm\nKEpRZ+4ZWLEuJVVUJSQksGbNGgL8Arh27Roe9h4ARKdGU6lSJXzG+9C3b19cXHI2x1QetOvgLho+\n35Cy+rK8xVtG7xdPPGMZS7Xnq7F9z3ZeePYFnrnzDO2laRVPoojiG803LFm5RCUvRTGROgMrYkJC\nQhjQdwBewovO8Z15mZezpmPr0XOUo2wpsYXT8jTLf1xOly5dHnPE1m/fvn10btOZDvoODGTgA7MC\nc3OBC0xkImWfLcux08ews7MjPDyc15u9Tsf7Hemb1veB5QJ5OcpRZmpmMmX2FIYMNf8+nKIUdWoS\nRzGwauUqRg0dxeSkydQh/9lp4YQz0XkicwLn8L9+/3tEERZd58+fp2OLjkTdjKIVrehBD2pQI+t5\nLVr+4A9+4ieuiqt07d6VNevXPDD1PzIykoF9BnLt5DV6JfSiGc2wxz7nz+I8m5w3Ee4SzpLVS2jX\nrt0jeY2KYq1UAnvCHThwgG5tu+Gf5G/0bLfLXGasZiybf91M06ZNCzfAJ8SpU6f42PdjDv5xEL3U\n44wzaaSRRBJlXcoywHsAkydPxsnJKdf9pZRs2rSJuV/P5eTpkzzr9CyVUiphI22443CHf/T/YKux\nxXuUN8O8h+Hm5vaIX6GiWJ9CS2BCiKeBFcBTgB5YLKWcl8t284A3gARgoJQyR3VclcDM16ZxG145\n9Aod6GDSfjvYwdEmR/ntgGVaehQXaWlp/Pfff0RGRuLi4oKnpydly5Y16RjR0dEcO3aMixcvotPp\nKFeuHC+99BLVq1d/rBVSFMXaFGYCKw+Ul1KeEEKUAI4B3aSU57Jt8wbwkZSykxCiETBXSvlqLsdS\nCcwM//zzD41faMyPyT/m2YYkL1q09HXqy6FTh6hZs2YhRagoimK+QlsHJqW8kXk2JaWMB84ClR7a\nrBvpZ2lIKf8G3IUQqnCbhSwMWEgHXQeTkxeAAw6017Xn+wDDZY4URVGKEpOuYwghqgH1gb8feqoS\nEJnt71HkTHKKmU78fYIXUs2vb1g/tT4nD5+0YESKoiiPn9EJLOPy4QZgRMaZmPKIxN2PK1DXYA0a\n4uLiLBiRoijK42fUQmYhhB3pyWullHJzLptEAZWz/f3pjMdymDRpUtb3LVu2pGXLlkaGWny5uLiQ\nTLLZ+yeRpBY1K4piNfbt28e+ffsKfByjptELIVYAMVLKj/N4viPgnTGJ41VgjprEYTlDBg1Bv1JP\nP10/s/ZfabsSu3ftWLS04L2vFEVRLK0wZyE2Bf4AwgCZ8fUZUBWQUsrAjO3mAx1In0Y/SEqZo8e6\nSmDmCQ0NpVPzTqxKXGVUhYfsdOjop+nH9gPbqV+/fiFFqCiKYj61kPkJ19CrIV3PdKUZzUza70/+\nJMQrhL/DHp53oyiKYh1UO5Un3Bdff8F3mu+IIcbofaKJ5jvNd0yYPqEQI1MURXk8VAIrIrp06cJH\nn3zEWM1YrnPd4PbXuMY4zTh8PvVRBX0VRXkiqUuIRcz8efP5YvwXtNW3pbO2M1Wo8sDzEUSwxWEL\nu2x2McVvCh/5fvSYIlUURTGOugdWjFy5coWFCxayZNESyovyeJDRD4xobnKTwUMH86H3h1StWvUx\nR6ooimKYSmDFUEpKCn/99dcDHZkbN26Mo6PjY45MURTFeCqBKYqiKEWSmoWoKIqiFCsqgSmKoihF\nkkpgiqIoSpGkEpiiKIpSJKkEpiiKohRJKoEpiqIoRZJKYIqiKEqRpBKYoiiKUiSpBKYoiqIUSSqB\nKYqiKEWSSmCKoihKkaQSmKIoilIkqQSmKIqiFEkqgSmKoihFkkpgiqIoSpGkEpiiKIpSJKkEpiiK\nohRJKoEpiqIoRZJKYIqiKEqRpBKYoiiKUiSpBKYoiqIUSQYTmBBiiRDiphDiVB7PtxBC3BNChGZ8\nTbB8mIqiKIryIGPOwJYB7Q1s84eUskHG11QLxGUV9u3b97hDMJqKtfAUpXiLUqxQtOJVsVofgwlM\nSvkncNfAZsIy4ViXovRLoGItPEUp3qIUKxSteFWs1sdS98AaCyFOCCG2CiHqWOiYiqIoipInOwsc\n4xhQRUqZKIR4A/gFqGWB4yqKoihKnoSU0vBGQlQFQqSUzxux7WXgJSnlnVyeM/zDFEVRlGJHSmny\nrShjz8AEedznEkI8JaW8mfF9Q9KTYo7kZW6AiqIoipIbgwlMCLEGaAmUEUJEABMBB0BKKQOBt4UQ\nw4BUIAnoXXjhKoqiKEo6oy4hKoqiKIq1KbRKHEIIm4yFzcF5PD9PCPFvxuzF+oUVhzHyi9XaFmoL\nIa4IIU4KIY4LIQ7nsY1VjK2hWK1wbN2FEOuFEGeFEGeEEI1y2cZaxjbfWK1lbIUQtTL+/4dm/DdW\nCOGby3bWMq4G47WWsc2IZZQQ4rQQ4pQQYrUQwiGXbaxlbPON1axxlVIWyhcwClgFBOfy3BvA1ozv\nGwGHCisOC8TaIrfHH2Osl4BS+TxvNWNrRKzWNrZBwKCM7+0ANyseW0OxWtXYZsRkA1wDKlvruBoZ\nr1WMLVAx49+YQ8bf1wHvWuPYGhmryeNaKGdgQoingY7AD3ls0g1YASCl/BtwF0I8VRixGGJErGBd\nC7UF+Z85W83YYjjWzG0eOyGEG9BcSrkMQEqZJqWMe2gzqxhbI2MFKxnbbF4HLkopIx963CrGNRd5\nxQvWM7a2gIsQwg7QkJ5ws7OmsTUUK5g4roV1CfFbYCyQ1w22SkD2X4qojMceB0OxgnUt1JbALiHE\nESHEB7k8b01jayhWsJ6x9QRihBDLMi5fBAohnB/axlrG1phYwXrGNlNv4MdcHreWcX1YXvGCFYyt\nlPIaMAuIIH3M7kkpf3toM6sYWyNjBRPH1eIJTAjRCbgppTxBPtPvrYGRsWYu1K4PzCd9ofbj1FRK\n2YD0s0ZvIUSzxxxPfgzFak1jawc0ABZkxJwIfPIY48mPMbFa09gihLAHugLrH2ccxjIQr1WMrRCi\nJOlnWFVJv0RXQgjxzuOIxRAjYzV5XAvjDKwp0FUIcYn0Ty+thBArHtomCqic7e9PZzz2qBmMVUoZ\nL6VMzPh+O2AvhCj96EPNiud6xn+jgZ+Bhg9tYi1jazBWKxvbq0CklPJoxt83kJ4ksrOWsTUYq5WN\nLaTfizmW8bvwMGsZ1+zyjNeKxvZ14JKU8o6UUgdsApo8tI21jK3BWM0ZV4snMCnlZ1LKKlLKZ4A+\nwB4p5bsPbRYMvAsghHiV9NPJm5aOxRBjYs1+vVgYWKhd2IQQGiFEiYzvXYB2wOmHNrOKsTUmVmsa\n24wxihRCZJZBawOEP7SZVYytMbFa09hm6Evel+OsYlwfkme8VjS2EcCrQggnIYQg/ffg7EPbWMvY\nGozVnHG1RC1EowghhpKx+FlKuU0I0VEIcQFIAAY9qjiMkT1WrGuh9lPAzyK9JJcdsFpK+auVjq3B\nWLGusQXwBVZnXD66BAyy0rE1GCtWNLZCCA3pn8CHZHvMWsfVYLxYydhKKQ8LITYAxzNiCQUCrXFs\njYkVM8ZVLWRWFEVRiqRCW8isKIqiKIVJJTBFURSlSFIJTFEURSmSVAJTFEVRiiSVwBRFUZQiSSUw\nRVEUpUhSCUxRFEUpklQCUxRFUYqk/wOhhpfjcaahVQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa690e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(nrows=2, figsize=(7, 10))\n",
    "ax[0].set_title(\"Predictions\")\n",
    "ax[0].scatter(X[:, 0], X[:, 1], s=lr.predict(X)*80, label='LR Predictions', color='c', edgecolors='black')\n",
    "ax[1].scatter(X[:, 0], X[:, 1], s=knnr.predict(X)*80, label='k-NN Predictions', color='m', edgecolors='black')\n",
    "ax[0].legend()\n",
    "ax[1].legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.4,  1.4,  1.3,  1.5,  1.4])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "setosa_idx = np.where(iris.target_names=='setosa')\n",
    "setosa_mask = iris.target == setosa_idx[0]\n",
    "y[setosa_mask][:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.46,  1.47,  1.51,  1.42,  1.48])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knnr.predict(X)[setosa_mask][:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.83762646,  2.1510849 ,  1.52707371,  1.48291658,  1.52562087])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict(X)[setosa_mask][:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "example_point = X[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.46"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import pairwise\n",
    "distances_to_example = pairwise.pairwise_distances(X)[0]\n",
    "ten_closest_points = X[np.argsort(distances_to_example)][:10]\n",
    "ten_closest_y = y[np.argsort(distances_to_example)][:10]\n",
    "ten_closest_y.mean() "
   ]
  }
 ],
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